Constructing `30^@` using a compass

In this page, a short and to-the-point overview of constructing `30^@` angle using a compass is provided.

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Which of the following help to construct `30^@` angle using a compass?

construct `60^@` and bisect that

construct `60^@` and bisect that

`30^@` angle cannot be constructed using a compass

The answer is "construct `60^@` and bisect that"

We have learned constructing `60^@` and bisecting an angle using a compass. Combine these two to construct `30^@` angle. • With an arbitrary distance-measure on compass, mark point `P` from point `A` on line `bar(AB)`.

• With the same distance measure on compass, construct two arcs from points `A` and `P`. The arcs cut at point `Q`. `bar(AQ)` makes `60^@` with the `bar(AP)`.

• With an arbitrary distance-measure on compass, construct two arcs from points `P` and `Q`. These arcs cut at point `R`. The line `bar(AR)` bisects the angle `/_PAQ`.

The angle `30^@` is constructed as `/_PAR`.

Constructing `30^@` angle using a Compass : Construct an equilateral triangle and the angle `60^@` is constructed at the vertex. Bisect the angle.